Tuck School of Business 2016 Olympic Predictions

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Going for the Gold in the
Cidade Maravilhosa: Who
Will Win the 2016 Olympic
Games in Rio de Janeiro?
by
Camila F. Gonzales1
Tuck School of Business at Dartmouth
July, 2016
1
camila.falleiros.gonzales.tu16@tuck.dartmouth.edu
The Summer Olympic Games in Rio are approaching fast and Brazil is ready to celebrate
sports with the same excitement and energy it showed during the World Cup two years
ago. Even though the Olympics are not centered on soccer, Brazil’s national passion, the
country’s enthusiasm to receive the best athletes in the world certainly surpasses the
lack of familiarity with some of the Olympic sports – who can actually name the five
sports in Modern Pentathlon?
However, this is not by far the most important question in the moment. When the
Games are the topic on the table, people around the world are asking – who will win the
Olympics?
This study presents country-level predictions for total and gold medals by country for
the Rio 2016 Games. The current work builds on the successful Olympic medal
prediction formula developed by Professor Andrew Bernard of the Tuck School of
Business at Dartmouth. This formula has been the most accurate predictor of country
Olympic success since it was unveiled before the Sydney Games in 2000;2 the model
predicted the 2012 London total medal count with an astounding 98% accuracy.
Interestingly, knowledge about sports or athletes does not matter for the predictions,
which are based only in economic variables, such as income per person, population and
performance in prior Olympic Games.
In previous games, there has been a strong home field advantage, with the host country
winning significantly more medals – including more gold medals – in comparison to its
past performances. This effect is likely to be less evident for Brazil this time, due to the
country’s lack of continuous support for sports and athletes in the years leading up to
“Who Won the Olympics Forecasting Competition?” NumbersGuy Blog, August 27, 2008, Wall Street
Journal, wsj.com
2
the Olympics. Olympic athletes are not “built” overnight; they are a result of lifetime
investments in the individuals and in infrastructure, which the country has not
prioritized in the last decades.
Table 1: Top 5 Medal Winning Countries
Country
United States
China
United Kingdom
Russian Federation
Germany
Predicted Total
Medals in Rio
105
89
67
62
48
Total Medals won in
London
104
88
65
82
44
Table 2: Top 5 Gold Medal Winning Countries
Country
United States
China
United Kingdom
Russian Federation
Germany
Predicted Total
Medals in Rio
48
38
30
18
13
Gold Medals won in
London
46
38
29
24
13
In Rio-2016, medals will be awarded in 306 events, the number used to calculate the
predictions – the model attributes a share for each country, which is multiplied by the
total number of medals to determine the number of medals per country.
Tables 1 and 2 show the top 5 medal winning countries and this year Russia stands out
with a much lower prediction, in comparison to medals won in London. This is due to
the doping-related ban of its track and field teams, which, in the last Olympic Games,
were responsible for 20% of the countries medals. These medals were divided among
the other top 5 countries, since those are the most likely nations to take Russia’s place
in the podium. If there had been no adjustments to redistribute these medals, the total
medals for the top countries would have decline, indicating that Olympic Games may
become more egalitarian.
Tables 3 and 4 give the model’s predictions for a wider range of countries: all those
predicted to win 6 or more total medals and 4 or more gold medals. Even though the
model takes into account population and GDP, we do not see some of the most
populous countries, such as Nigeria, Bangladesh and Indonesia, nor some of the richest
in terms of income per person, like Qatar, Luxembourg or Liechtenstein. The absence of
these countries confirms the importance combining large population with high income
to produce excellent athletes.
Modelling Framework
In an article published in the Review of Economics and Statistics jointly authored with
Professor Meghan Busse of the Kellogg School of Management, Professor Bernard
describes the details of the medal prediction method.3 The paper shows that over the
last 40 years, national Olympic medal totals have been driven by four distinct factors:
population, per capita income, past performance, and a host effect. During the Soviet
era there was a substantial additional boost for the Communist bloc, an effect which
had completely dissipated by the Sydney games.4
Andrew B. Bernard and Meghan R. Busse, (2004) “Who Wins the Olympic Games: Economic Resources
and Medal Totals”, Review of Economics and Statistics, Vol. 86, no.1.
4
In fact, from 1960-1992, there was a large role played by the government of non-market economies such
as the Soviet Union and East Germany. Each Soviet satellite state was able to increase their medal share by
almost 3 percentage points above the predictions of the four factor model. This effect is no longer
important in determining country medal counts.
3
Money is not everything: Size also Matters
Countries that win large number of medals have two things in common – large
populations and high per capita income. Germany, United Kingdom and US, some of the
countries with successful performance on Olympic Games, fit that description. The more
people in a country, the higher the chances it has to find athletes with exceptional
abilities; if it also has high income per person, it can allocate more money to train those
athletes and invest on infrastructure, improving their chances of winning Olympic
medals. It is possible, however, that one can compensate the other, in cases of countries
with extremely large population or per capita income. China wins more medals than
Italy, Japan and the Netherlands, because its population more than compensates for its
low per capita income. India and Switzerland won a similar number of medals in London
because, even though India has the second largest population in the world (158 times
greater than Switzerland’s), its per capita income is very low, while Switzerland
compensates its small population with higher income per capita (57 times greater than
India’s).
History Will Repeat
Past performance is another powerful, yet not perfect, predictor of Olympic success.
Countries with above average performances in London are likely to continue to take
home medals in the Rio games. Germany and UK exceeded expectations, winning more
medals than predicted by the model and will likely repeat the good performance in Rio.
Australia, Japan and France won considerably fewer medals than expected and we will
probably see similar results in this year’s Olympic Games.
The Not-so-much Host Advantage
In soccer, the host advantage is widely known, but it was not enough to prevent Brazil
from suffering a heartbreaking defeat on the quarterfinals in 2014 World Cup. In
previous Olympic Games, the host advantage has been clear, and the hosting country
has consistently won more medals than it would be expected. This may be an effect of
cheering, serving as an extra motivation for athletes on the finish line, home cooking, or
just familiarity with the surroundings. The predictions for Rio-2016 took into
consideration the host effect, predicting a slightly higher number of medals for Brazil
this year (18) – the effect is relatively small since the country’s past Olympic
performance was not outstanding. In order to build an Olympic-class athlete, a country
needs to invest in training and infrastructure, things that, as mentioned before, have not
been a priority in the current and past governments in Brazil.
Setting Expectations
This model should be used as an indicative of a country’s performance, to help set the
expectations for the upcoming games. Often, the committees of each country overstate
the expected number of medals, resulting in disappointment and frustration in most of
the participating countries. The predictions are an unemotional, neutral instrument to
indicate a country’s performance, based on resources and past performance.
Table 3: Predicted Total Medals
(shown for countries winning 6 or more total medals)
Predicted Total Medals in Rio
United States
China
United Kingdom
Russian Federation
Germany
Japan
Australia
France
Italy
Korea Rep.
Netherlands
Canada
Brazil
Spain
Ukraine
Hungary
New Zealand
Kazakhstan
Iran Islamic Rep.
Poland
Denmark
Belarus
Czech Republic
Sweden
Mexico
Romania
Colombia
Azerbaijan
Kenya
Jamaica
India
Switzerland
Turkey
105
89
67
62
48
43
35
35
29
28
20
19
18
18
17
15
12
12
11
10
9
9
9
9
8
8
7
7
7
7
7
6
6
Table 4: Predicted Gold Medals
(shown for countries winning 4 or more gold medals)
Predicted Gold Medals in Rio
United States
China
United Kingdom
Russian Federation
Germany
Korea Rep.
France
Italy
Japan
Australia
Netherlands
Hungary
Kazakhstan
New Zealand
48
38
30
18
13
12
11
8
8
7
6
5
5
4
Camila F. Gonzales has received her MBA from the Tuck School of Business at
Dartmouth in 2016.
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